Solve log_{03}(x-1)<log_{009}(x-1)

$$\log _ { 03 } ( x - 1 ) < \log _ { 009 } ( x - 1 )$$

Evaluate

Solution Steps

Multiply 0 and 3 to get 0.

$$\log_{0}\left(x-1\right)<\log_{0\times 0\times 9}\left(x-1\right)$$

Multiply 0 and 0 to get 0.

$$\log_{0}\left(x-1\right)<\log_{0\times 9}\left(x-1\right)$$

Multiply 0 and 9 to get 0.

$$\log_{0}\left(x-1\right)<\log_{0}\left(x-1\right)$$

Subtract \log_{0}\left(x-1\right) from both sides.

$$\log_{0}\left(x-1\right)-\log_{0}\left(x-1\right)<0$$

Combine \log_{0}\left(x-1\right) and -\log_{0}\left(x-1\right) to get 0.

$$0<0$$

Compare 0 and 0.

$$\text{false}$$